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223061832 = 233271572819
BaseRepresentation
bin11010100101110…
…10011101001000
3120112201201022100
431102322131020
5424100434312
634044553400
75345665020
oct1522723510
9515651270
10223061832
11104a04724
1262852860
13372a0266
14218a6a80
15148b25dc
hexd4ba748

223061832 has 96 divisors (see below), whose sum is σ = 695073600. Its totient is φ = 63303552.

The previous prime is 223061821. The next prime is 223061849. The reversal of 223061832 is 238160322.

223061832 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 223061796 and 223061805.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77719 + ... + 80537.

It is an arithmetic number, because the mean of its divisors is an integer number (7240350).

Almost surely, 2223061832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223061832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347536800).

223061832 is an abundant number, since it is smaller than the sum of its proper divisors (472011768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

223061832 is a wasteful number, since it uses less digits than its factorization.

223061832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2995 (or 2988 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 223061832 is about 14935.2546680664. The cubic root of 223061832 is about 606.4687416705.

The spelling of 223061832 in words is "two hundred twenty-three million, sixty-one thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 157 168 252 314 471 504 628 942 1099 1256 1413 1884 2198 2819 2826 3297 3768 4396 5638 5652 6594 8457 8792 9891 11276 11304 13188 16914 19733 19782 22552 25371 26376 33828 39466 39564 50742 59199 67656 78932 79128 101484 118398 157864 177597 202968 236796 355194 442583 473592 710388 885166 1327749 1420776 1770332 2655498 3098081 3540664 3983247 5310996 6196162 7966494 9294243 10621992 12392324 15932988 18588486 24784648 27882729 31865976 37176972 55765458 74353944 111530916 223061832